Traditional cost-effectiveness analysis (CEA) assumes that program costs and benefits scale linearly with investment-an unrealistic assumption for epidemic control programs. This paper combines epidemic modeling with optimization techniques to determine the optimal allocation of a limited resource for epidemic control among multiple noninteracting populations. We show that the optimal resource ...

We applied optimal control theory to an SI epidemic model to identify optimal culling strategies for diseases management in wildlife. We focused on different forms of the objective function, including linear control, quadratic control, and control with limited amount of resources. Moreover, we identified optimal solutions under different assumptions on disease-free host dynamics, namely: self-r...

Abstract Infection of hepatitis B virus (HBV) is a global health problem. We provide the study about dynamics that can be controlled by education campaign (awareness), vaccination, and treatment. Initially we bring constant controls in considerations for treatment, (awareness). In case controls, stability existence disease-free endemic equilibria model’s solutions. Afterwards, take time as cont...

We analyze equilibrium behavior and optimal policy within a Susceptible-Infected-Recovered epidemic model augmented with potentially undiagnosed agents who infer their health status social planner imperfect enforcement of distancing. define prove the existence perfect Bayesian Markov competitive contrast it efficient allocation subject to same informational constraints. identify two externaliti...

In this study, we propose a discrete time mathematical model (SEIQR) that describes the dynamics of monkeypox within human population. The studied population is divided into five compartments: susceptible (S), exposed (E), infected (I), quarantined (Q), and recovered (R). Also, an optimal strategy to fight against spread epidemic. sense use three controls which represent: 1) awarness vulnerable...